- Autor
- Ledger, P.D.
- Zaglmayr, Sabine
- Titelhp-Finite Element Simulation of Three-Dimensional Eddy Current Problems on Multiply Connected Domains
- Datei
- DOI10.1016/j.cma.2010.07.010
- Erschienen inComputer Methods in Applied Mechanics and Engineering
- Band199
- Erscheinungsjahr2010
- Heft49
- Seiten3386-3401
- LicenceCC-BY
- Projekt Identifikator
- info:eu-repo/grantAgreement/Royal Society Travel////
- info:eu-repo/grantAgreement/FWF/SFB/F32/Mathematical Optimization and Applications in Biomedical Sciences/
- Download Statistik509
- Peer ReviewNein
- AbstractThis work considers the accurate and efficient finite element simulation of three-dimensional eddy current problems. We review the application of H and A based formulations for multiply connected domains for the cases where the conductor has a handle and/or a hole. We focus on an hierarchical hp-finite element discretization of the A based formulation that is gauged by regularization. Based on an explicit kernel splitting of the underlying hp-finite element basis, we present a novel preconditioning technique for eddy current problems. We demonstrate its validity on multiply connected domains and include a series of numerical examples to show the effectiveness of the proposed approach.
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